Summary
An exact solution is obtained for the motion of a fluid contained in an infinité circular cylinder which is undergoing both torsional and longitudinal oscillations. An analytical expression is obtained for the viscous drag on the cylinder and the velocity is depicted graphically. Where possible, comparisons are made with corresponding results for the external problem.
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References
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K. R. Rajagopal, Acta Mech.49, 281 (1983).
M. Abramowitz and I. A. Stegun,Handbook of Mathematical Functions, Dover Publ. Inc, New York 1965.
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Ramkissoon, H., Majumdar, S.R. Flow due to the longitudinal and torsional oscillation of a cylinder. Z. angew. Math. Phys. 41, 598–603 (1990). https://doi.org/10.1007/BF00945958
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DOI: https://doi.org/10.1007/BF00945958